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PRISM
________- a solid shape that is bound on all its sides by plane faces.
PYRAMID
________- is a polyhedron formed by connecting a polygonal base and a point, called the apex.
POLYHEDRON
________- is a solid which is bounded by polygons joined at their edges.
RAY
________- a portion of a line that consists of an endpoint and a set of all points on one side of the line.
COROLLARY
________- statements consequent to the theorem.
THEOREMS
________- statements that need to be proved.
ANGLES
________- set of all points that are the union of rays having the same endpoint.
LEMMA
________- a proven statement used to prove a theorem.
flat surface
PLANE- a(n) ________ that extends indefinitely.
DIAGONAL
________- a line segment whose endpoints are nonconsecutive vertices of a polygon.
DIAGONALS
________- are any straight lines joining any two vertices that are not in the same face.
POLYGON
________- closed plane figure formed by three or more line segments.
POINT
________- a fixed location in space represented by a dot.
EDGES
________- the intersection of the bounding plane.
REGULAR POLYGON
________- a polygon that is both equilateral and equiangular.
VERTEX
________- the intersection of two sides in a polygon.
IRREGULAR
________- made of the same or different irregular polygons.
SIMILAR SOLIDS
________- two or more solids that have the same shape but not the same size.
AREA OF A PLANE
________- the space enclosed by the boundary of a plane figure.
AXIOM METHOD
________- used to arrive at a theory based on axioms.
SOLID
________- any limited portion of space bounded by surfaces of plane figures.
LINES
________- is contained within two points and extends indefinitely in two opposite directions.
AXIOMS POSTULATES
________- self- evident statements that do not require proof.
SOLID MENSURATION
also known as solid geometry, it is the study of various solids (Volume Area, Height, etc.)
SOLID
any limited portion of space bounded by surfaces of plane figures
PLANE FIGURE
two dimensional
SOLID FIGURE
three dimensional
EDGES
the intersection of the bounding plane
FACES
the portions of the bounding planes included by the edges
VERTICES
the intersections of the edge
DIAGONALS
are any straight lines joining any two vertices that are not in the same face
SECTION
plane figure formed by the intersection of a plane and a solid
RIGHT SECTION
a section of solid that is perpendicular to one of its lateral edges
VOLUME OF A SOLID
a ________ is the amount of space it occupies
AREA OF A PLANE
the space enclosed by the boundary of a plane figure
SURFACE AREA OF A SOLID
also known as Total Surface area, it is the area of a 3-dimensional surface or solid
LATERAL AREA OF A SOLID
areas of the lateral or side surfaces except for the base and top
POLYHEDRON
is a solid which is bounded by polygons joined at their edges
REGULAR
made of the same, regular polygons
IRREGULAR
made of the same or different irregular polygons
PLATONIC SOLIDS OR REGULAR POLYHEDRA
solids that have polygonal faces that are similar in form, height, angles, and edges
PRISM
a solid shape that is bound on all its sides by plane faces
PYRAMID
is a polyhedron formed by connecting a polygonal base and a point, called the apex
SIMILAR SOLIDS
two or more solids that have the same shape but not the same size
AXIOM METHOD
used to arrive at a theory based on axioms
AXIOMS/POSTULATES
self-evident statements that do not require proof
THEOREMS
statements that need to be proved
PROPOSITION
same definition, but of lesser importance than a theorem
LEMMA
a proven statement used to prove a theorem
COROLLARY
statements consequent to the theorem
POINT
a fixed location in space represented by a dot
LINES
is contained within two points and extends indefinitely in two opposite directions
LINE SEGMENT
line with two endpoints
RAY
a portion of a line that consists of an endpoint and a set of all points on one side of the line
COLLINEAR POINTS
points that lie on the same line
NONCOLLINEAR POINTS
no line on which all of the points lie
PLANE
a flat surface that extends indefinitely
COPLANAR POINTS
are points that lie on the same plane
PARALLEL LINES
are lines in the same plane that have no points in common
SKEW LINES
non-coplanar lines that do not parallel nor intersect
PARALLEL PLANES
planes that do not intersect
ANGLES
set of all points that are the union of rays having the same endpoint
VERTICAL ANGLES
angles lying on opposite sides or a pair of non-adjacent angles formed by two lines that are intersecting
CONGRUENT ANGLES
have the same angle measure
ALTERNATE EXTERIOR ANGLES
pair of angles that are formed on the other side of the parallel lines but on the opposite side of the transversal
CORRESPONDING ANGLES
angles formed in matching corners or corresponding corners with the transversal
DIHEDRAL ANGLE
an angle formed by two intersecting planes
ADJACENT DIHEDRAL ANGLE
two dihedral angles having a common edge and a common face
PERPENDICULAR PLANES
are two intersecting planes that form a right dihedral angle
POLYHEDRAL ANGLE
an angle formed by three or more intersecting planes at a common point or vertex
POLYGON
closed plane figure formed by three or more line segments
SIDES
line segments
VERTEX
the intersection of two sides in a polygon
CONSECUTIVE SIDES
are sides that share a common vertex
CONSECUTIVE VERTICES
two endpoints of any side of a polygon
DIAGONAL
a line segment whose endpoints are nonconsecutive vertices of a polygon
CONVEX POLYGON
where diagonals lie inside of a polygon
CONCAVE POLYGON
where diagonals lie outside of a polygon
EQUILATERAL
congruent sides
EQUIANGULAR
congruent angles
REGULAR POLYGON
a polygon that is both equilateral and equiangular
Note
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